Unramified Brauer groups and isoclinism

Primoz Moravec

arXiv:1203.2422·math.GR·March 13, 2012·Ars Math. Contemp.·5 cites

Unramified Brauer groups and isoclinism

Primoz Moravec

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TL;DR

This paper proves that isoclinic groups have isomorphic Bogomolov multipliers, establishing a connection between group structure and unramified Brauer groups in algebraic geometry.

Contribution

It demonstrates that isoclinism preserves the Bogomolov multiplier, a significant invariant in the study of unramified Brauer groups.

Findings

01

Isoclinic groups have isomorphic Bogomolov multipliers.

02

The result links group-theoretic properties with algebraic geometry invariants.

Abstract

We show that if $G_{1}$ and $G_{2}$ are isoclinic groups, then their Bogomolov multipliers are isomorphic.

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Taxonomy

TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Finite Group Theory Research